Find the speed of the block at this point

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Homework Help Overview

The problem involves a 2.00 kg block on a frictionless incline connected to a spring. The block is released from rest and moves down the incline, and the task is to find its speed after moving a certain distance.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of conservation of energy principles, questioning the use of kinetic energy and spring potential energy equations. There are inquiries about alternative equations and methods to approach the problem.

Discussion Status

Some participants have offered guidance on using conservation of energy, while others are exploring different equations related to kinetic energy and potential energy. There is a mix of attempts and clarifications without a definitive consensus on the solution.

Contextual Notes

Participants note difficulties in editing their posts and express uncertainty about the equations to use, indicating a need for further clarification on the problem setup and relevant formulas.

fizwiz
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Homework Statement


A 2.00 kg block situated on a frictionless incline is connected to a spring of negligible mass having a spring constant of 100 N/m. The block is released from rest when the spring is unstretched, and the pulley is frictionless. The block moves 23.0 cm down the incline of 37 degrees. Find the speed of the block at this point. I've included a picture at the bottom.


Homework Equations





The Attempt at a Solution

 

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i can't seem to edit my thread
2. Homework Equations

ive tried using the equation of KE=1/2mv^2 and also W=1/2x^2
i've basically done everything i can without any progress.
are there any other equations or ways of doing this type of question?
thank you

3. The Attempt at a Solution
 
Welcome to PF!

Hi fizwiz! Welcome to PF! :smile:

I don't understand why conservation of energy isn't doing it …

KE + energy of spring + gravitational PE = constant.

What numbers are you getting? :smile:
 
hi tiny-tim
i haven't actaully tried it using your way..
which equations would you use?
 
Hi fizwiz! :smile:

I would use: KE + energy of spring + gravitational PE = constant.

KE, as you say, is 1/2mv².

(btw, what was your W?)

So … what is the formula for the gravitational PE for a drop of h?

And what is the formula for the energy of the spring when its length is x? :smile:
 
thanks for your help! :)
i think I've worked out the answer using those equations
 
:biggrin: Woohoo! :biggrin:

( :smile: … don't forget to click on "Thread Tools" to mark the thread [SOLVED] … )
 

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